Supersymmetric Bianchi class A models

Asano, Masako; Tanimoto, Masayuki; Yoshino, Noriaki

doi:10.1016/0370-2693(93)91240-n

Cited by 40 publications

(45 citation statements)

References 11 publications

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“…Consequently, if we impose Dirichlet initial conditions on the left-handed spinors Interestingly, these are precisely the sectors which are found to admit physical solutions in the Bianchi I case considered by D'Eath, Hawking and Obrégon [7] and the Bianchi IX case [8,9] as well as the more general Bianchi class A models studied by Asano, Tanimoto and Yoshino [18].…”

Section: Discussionmentioning

confidence: 99%

“…The stochastic differential equation (22) is the Nicolai map for the model, subject to the correponding set of initial conditions (17) or (18). After rotating to imaginary ξ 0 , this is a Langevin equation for the particle whose motion in minisuperspace represents the Euclidean time evolution of the Universe.…”

Section: Construction Of Nicolai Maps For Quantum Cosmologymentioning

confidence: 99%

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Nicolai maps for quantum cosmology

Graham¹,

Luckock

1994

Phys. Rev. D

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We construct Nicolai maps for N = 2 supersymmetric extensions of minisuperspace models. It is shown that Nicolai maps exist for only a very restricted set of states. In the models considered these are the two states corresponding to the empty and the filled fermion sectors. The form of the Nicolai maps in these sectors is given explicitly, and it is shown that they have a natural stochastic interpretation. This result also suggests a probabilistic interpretation of the wave function.

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Section: Discussionmentioning

confidence: 99%

Section: Construction Of Nicolai Maps For Quantum Cosmologymentioning

confidence: 99%

Nicolai maps for quantum cosmology

Graham¹,

Luckock

1994

Phys. Rev. D

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“…The supersymmetry constraints for a generic Bianchi class-A minisuperspace have the form [12] S A = σm pq e AA ′ pψ…”

Section: Bianchi Class-a Modelsmentioning

confidence: 99%

“…(45) and (46) [10,12,20]. Furthermore, we can use either of the representations Ψ or Ψ: their bosonic coefficients are related by a Fourier transformation generalizing (41).…”

Section: Bianchi Class-a Modelsmentioning

confidence: 99%

Conserved Currents in Supersymmetric Quantum Cosmology?

Moniz

1997

Int. J. Mod. Phys. D

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In this paper we investigate whether conserved currents can be sensibly defined in supersymmetric minisuperspaces. Our analysis deals with k = +1 FRW and Bianchi class-A models. Supermatter in the form of scalar supermultiplets is included in the former. Moreover, we restrict ourselves to the first-order differential equations derived from the Lorentz and supersymmetry constraints. The "square-root" structure of N=1 supergravity was our motivation to contemplate this interesting research. We show that conserved currents cannot be adequately established except for some very simple scenarios. Otherwise, equations of the type ∇ a J a = 0 may only be obtained from Wheeler-DeWitt-like equations, which are derived from the supersymmetric algebra of constraints. Two appendices are included. In appendix A we describe some interesting features of quantum FRW cosmologies with complex scalar fields when supersymmetry is present. In particular, we explain how the Hartle-Hawking state can now be satisfactorily identified. In appendix B we initiate a discussion about the retrieval of classical properties from supersymmetric quantum cosmologies.

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“…Quantum wormhole and Hartle-Hawking solutions were found in minisuperspaces for pure N=1 supergravity [8,[11][12][13][14][15]18,19,36,37,39] but the former state is absent in the literature 2 , for pure gravity cases [1,9,16,[28][29][30].…”

mentioning

confidence: 99%

Is there a problem with quantum wormhole states inN=1 supergravity?

Moniz¹

1996

Gen Relat Gravit

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The issue concerning the existence of wormhole states in locally supersymmetric minisuperspace models with matter is addressed. Wormhole states are apparently absent in models obtained from the more general theory of N=1 supergravity with supermatter. A Hartle-Hawking type solution can be found, even though some terms (which are scalar field dependent) cannot be determined in a satisfactory way. A possible cause is investigated here. As far as the wormhole situation is concerned, we argue here that the type of Lagrange multipliers and fermionic derivative ordering used can make a difference. A proposal is made for supersymmetric quantum wormholes to also be invested with a Hilbert space structure, associated with a maximal analytical extension of the corresponding minisuperspace.

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Supersymmetric Bianchi class A models

Cited by 40 publications

References 11 publications

Nicolai maps for quantum cosmology

Nicolai maps for quantum cosmology

Conserved Currents in Supersymmetric Quantum Cosmology?

Is there a problem with quantum wormhole states inN=1 supergravity?

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